GCF of 34/249, 5006/2576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/249, 5006/2576 i.e 2/641424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/249, 5006/2576.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 34/249,5006/2576?
Given fractions are 34/249,5006/2576
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 34/249,5006/2576, numerators are 34,5006
Denominators are 249,2576
The GCF of 34,5006 is 2 .
LCM of 249,2576 is 641424.
The greatest common factor of 34/249,5006/2576 = [GCF of 34,5006]/[LCM of 249,2576]= 2/641424
Therefore, the GCF of 34/249,5006/2576 is 2/641424.
To find the highest common factor of 34,5006, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 5006 are 1, 2, 2503, 5006
The HCF of 34,5006 is 2.
Lets's calculate GCF of 34,5006
| 2 | 34, 5006 |
| 17, 2503 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,5006 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 5006
:1,2,2503,5006
Greatest Common Factor
We found the factors 34,5006 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5006 is 2.
Lets's calculate LCM of 249,2576
Given numbers has no common factors except 1. So, there LCM is their product i.e 641424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/641424
Therefore, the GCF of Fractions 34/249,5006/2576 is 2/641424
Least Common Multiple of 249,2576 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 249,2576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,2576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,2576) x common factors =1 x 1 = 1
LCM(249,2576) = ( 249 × 2576 ) / 1
LCM(249,2576) = 641424 / 1
LCM(249,2576) = 641424
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 34/249, 5006/2576
1. What is the HCF of 34,5006?
The HCF of 34,5006 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 34/249, 5006/2576?
Answer: GCF of Numerators as per given numbers 34/249, 5006/2576 is
GCF of Numerators i.e. for 34,5006 is 2
LCM of denominators i.e. for 249,2576 is 641424.
Thus, GCF of Fractions is 2/641424.Finally, GCF of Fractions for 34/249, 5006/2576 is 2/641424.